Search a number
-
+
14513472 = 263337227
BaseRepresentation
bin110111010111…
…010101000000
31000022100202000
4313113111000
512203412342
61235024000
7234235221
oct67272500
930270660
1014513472
118213206
124a3b000
13301206c
141cdb248
15141a44c
hexdd7540

14513472 has 112 divisors (see below), whose sum is σ = 44013120. Its totient is φ = 4686336.

The previous prime is 14513441. The next prime is 14513479. The reversal of 14513472 is 27431541.

14513472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14513479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63823 + ... + 64049.

Almost surely, 214513472 is an apocalyptic number.

14513472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14513472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22006560).

14513472 is an abundant number, since it is smaller than the sum of its proper divisors (29499648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14513472 is a wasteful number, since it uses less digits than its factorization.

14513472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 14513472 is about 3809.6551024994. The cubic root of 14513472 is about 243.9254452861.

The spelling of 14513472 in words is "fourteen million, five hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 144 148 192 216 222 227 288 296 333 432 444 454 576 592 666 681 864 888 908 999 1184 1332 1362 1728 1776 1816 1998 2043 2368 2664 2724 3552 3632 3996 4086 5328 5448 6129 7104 7264 7992 8172 8399 10656 10896 12258 14528 15984 16344 16798 21312 21792 24516 25197 31968 32688 33596 43584 49032 50394 63936 65376 67192 75591 98064 100788 130752 134384 151182 196128 201576 226773 268768 302364 392256 403152 453546 537536 604728 806304 907092 1209456 1612608 1814184 2418912 3628368 4837824 7256736 14513472